MAYBE

'Pop* with parameter subtitution (timeout of 60.0 seconds)'
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Answer:           MAYBE
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  gt(0(), Y) -> false()
     , gt(s(X), 0()) -> true()
     , gt(s(X), s(Y)) -> gt(X, Y)
     , p(0()) -> 0()
     , p(s(X)) -> X
     , if(true(), X, Y) -> X
     , if(false(), X, Y) -> Y
     , minus(X, Y) -> if(gt(Y, 0()), minus(p(X), p(Y)), X)
     , div(0(), s(Y)) -> 0()
     , div(s(X), s(Y)) -> s(div(minus(X, Y), s(Y)))}

Proof Output:    
  The input cannot be shown compatible